EchoSage

A = -3 and B = -9

Since Ax + By = 3 is parallel to 1x + 3y = -5, we know that A/B = 1/3 or 3A = B

Next we are given that Ax + By = 3 intersects (-7, 2) so -7A + 2B = 3

Now using substitution we can solve for A and B

-7A + 2(3A) = 3

-7A + 6A = 3

-A = 3

A = -3

B = 3A

B = 3(-3)

B = -9

Since 24:00 is a congruent time to 0:00,

From 18:55 -> 24:00 is 5 hours and 5 minutes

From 0:00 -> 2:30 is 2 hours and 30 minutes

Add those up and you get 7 hours and 35 minutes

Welp looks like I got it right. I guess I just misread the question.

\(\frac{1}{5^1} + \frac{1}{5^2} + \frac{1}{5^3} + ...\)

The expression above can be determined as the sum of an infinite geometric series

Each term can be written as \(1*(\frac{1}{5})^n\)

Using this information, we can plug the values into the formula for the sum of an infinite geometric series

\(\frac{\frac{1}{5}}{1 - \frac{1}{5}} = \frac{1}{4}\)

Finally we get an answer of 1/4

:D

To figure out whether a fraction is a terminating decimal, the denominator of the fraction must be a power of 2 and/or 5 ONLY. We know 1+ 2x won't be a multiple of 2 as x is an integer. We can however express the denominators as powers of 5.

So all we have to find is:

\(\frac{1}{5^1} + \frac{1}{5^2} + \frac{1}{5^3} + ...\)

If you need more help, respond to this answer I guess.